Finding the Third Proportional to 414,436.50 and 490,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,436.50 : 490,981.50 = 490,981.50 : x
2. Step 2: Convert to fraction form
   414,436.50/490,981.50 = 490,981.50/x
3. Step 3: Cross multiply
   414,436.50x = 490,981.50 × 490,981.50
4. Step 4: Simplify right side
   414,436.50x = 241,062,833,342.25
5. Step 5: Solve for x
   x = 241,062,833,342.25/414,436.50
6. Step 6: Final answer
   x = 581,664.10